A characterization and moving average representation for stable harmonizable processes.
A model of atomic radiation
À propos des distributions sur l'espace de Wiener
Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S2−almost automorphic
In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case...
An Approach to Wealth Modelling
2000 Mathematics Subject Classification: 60G48, 60G20, 60G15, 60G17. JEL Classification: G10The change in the wealth of a market agent (an investor, a company, a bank etc.) in an economy is a popular topic in finance. In this paper, we propose a general stochastic model describing the wealth process and give some of its properties and special cases. A result regarding the probability of default within the framework of the model is also offered.
An Example of Quantum Exponential Process.
ARMA models with nonstationary white noise